- Given a non-zero vector
, it is known that the vector is perpendicular to and has the same magnitude. (Do NOT prove this.) - Points
and have position vectors and , respectively. - Using the given information, or otherwise, show that the area of triangle
is . (3 marks)
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-
The point
lies on the circle centred at with radius , such that makes an angle of to the horizontal. -
The point
lies on the circle centred at with radius , such that makes an angle of to the horizontal.
- Note that
and . - Using part (i), or otherwise, find the values of
, where , that maximise the area of triangle . (4 marks)
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Show Worked Solution
i.
♦♦♦ Mean mark (i) 18%.
| ii. | ||
♦♦♦ Mean mark (ii) 8%.
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